Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

Q: 2. Euclidean Algorithm Use the Euclidean algorithm to find gcd(12345, 678).

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Q: .3x = 4(mod5).

A: From the given expression of the modulus, we will have to find out the value of X. This is…

Q: 46. Find the order of 7 modulo 172.

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Q: Use mathematical induction to show that 5? − 1 is divisible by 4. Determine the starting value as…

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Q: In the field Zu, what is 11: 4

A: Given the field ℤ11 and calculate the value of 74.

Q: if a equiv b (mod n) , then a⁴ equiv b⁴ (mod n) for any positive integer 4.

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Q: Decrypt the message "PYZTP" which was coded using the key f(a) 19a +1 mod 26. Provide full details…

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Q: Then where a11 = " a12 = , = a13 | Q21 = . A = A=1 = 1 1 1 7 0 7 2 -66 111 121 | C31 , a = 112 113…

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Q: Find the number of the permutation of 8 different things taken 3 at a time

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Q: 4x=22(mod10)

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Q: Find all Pnterers x such that 5x=12 (mat) LoxE 4 (mad) 7x=16 (modlo) and 1o00s x3000

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Q: Give a definition of an inverse of a number a modulo m.

A: if the two integer a and m modulo then  let x is an integer value so the x is inverse of an only if…

Q: Denote by X₁1 the operation "multiplication modulo 11" where a X11 b is the remainder when a × b is…

A: The given set Z11=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. To construct the multiplication modulo table,…

Q: 4 a) (x² + b) (- x*)*

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Q: What is the largest value that m mod n can be?

A: Largest value of m mod n is n-1.

Q: 137 mod |

A: The answer is : 7137 (mod 11) = 6  The detailed solution is as follows below:

Q: Given that 5w = = (-5, 20), what is w? Select the correct answer below: (-1,4) O (1, -20) O (-4,1) O…

A: given,  5w→=<-5,20>

Q: 12.) In how many ways can the letters in the word "DIFFERENCE" be arranged?

A: In how many ways can the letters in the word DIFFERENCE be arranged?

Q: 2. Euclidean Algorithm Use the Euclidean algorithm to find gcd(12345, 678).

A: We need to find the GCD(12345,678)=?

Q: How do we proof that 2logn = n?

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Q: man is んis now times old 十en Yoan as Son in 7he Sum their tof old will be ages the 76 how whin was…

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Q: -1- 3 5

A: Topic = Algebra

Q: 2x² – 3x = 9(mod13) X = (mod13)

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Q: Hellcopter Trip Whale Watching Adventure Volcano Tour Hours Cost ($) Hours Cost ($) Hours Cost ($)…

A: We can use linear equations to solve these types of problems. There are different methods available…

Q: x² + x = 13(mod17) X= * (mod17)

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Q: Please help!

A: Solution is given below

Q: 2. Create the following tables: (a) Addition table for modulo 7 (b) Multiplication table for modulo…

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Q: Let Then where a11 = , a31 = , a12 = -1/9 , a32 = 1/9 1 +-679 A = 1 1 A-¹ = , a13 = 0 a11 a12 a13…

A: a11​=11782​ a12​=117−28​ a13​=11763​ a21​=1175​ a22​=117−4​ a23​=117−9​ a31​=117−13​ a32​=11713​…

Q: sum as a product of two numbers: 4+11+18+25+32+39

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Q: Part C. Identify the solution to the following equations in Z₁1. Provide a justification or a…

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Q: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

A: There are a total of 6 digits and one letter on the license plate and repetition is not allowed.…

Q: Q3. By using mathematical induction, show that 52n – 1 is divisible by 24, for all positive |…

A: We need to show that 52n-1 is divisible by 24. We can solve this using induction method.

Q: Find the order of 4 modulo 49.

A: We have to find the order of 4 in the group of multiplication modulo 49. The order of 4 is the…

Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

Q: Q4/ Find the element of GF(2³) then by using the multiplication table find (x+1)-¹ mod (x² + x + 1).…

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Q: 5x² + 3x = 3(mod17) X = (mod17)

A: Given that 5x2+3x≡3 (mod 17)x(5x+3)≡3 (mod 17)x≡3 (mod 17)  or   (5x+3)≡3 (mod 17)x≡3 (mod 17)  or…

Q: - 7x – 4y = - 11 -8 -7 -6 -5 -4 -3 -2 -1, Į 2 3 4 5 6 7 8 -2 -3-

A: Plot the graph of -7x-4y=-11